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Finding the Fourth Proportional to 11,714.39, 17,578.88 and 4,320.51

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Solution

The fourth proportional to 11,714.39, 17,578.88 and 4,320.51 is: 6,483.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.39 : 17,578.88 = 4,320.51 : x
  2. Step 2: Convert to fraction form
    11,714.39/17,578.88 = 4,320.51/x
  3. Step 3: Cross multiply
    11,714.39x = 17,578.88 × 4,320.51
  4. Step 4: Simplify right side
    11,714.39x = 75,949,705.23
  5. Step 5: Solve for x
    x = 75,949,705.23/11,714.39
  6. Step 6: Final answer
    x = 6,483.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.